Finding the Fourth Proportional to 2,422.55, 3,634.16 and 779.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,422.55 : 3,634.16 = 779.27 : x
2. Step 2: Convert to fraction form
   2,422.55/3,634.16 = 779.27/x
3. Step 3: Cross multiply
   2,422.55x = 3,634.16 × 779.27
4. Step 4: Simplify right side
   2,422.55x = 2,831,969.80
5. Step 5: Solve for x
   x = 2,831,969.80/2,422.55
6. Step 6: Final answer
   x = 1,169.01